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Finding the Fourth Proportional to 412,831.32, 619,241.37 and 113,311.50

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Solution

The fourth proportional to 412,831.32, 619,241.37 and 113,311.50 is: 169,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,831.32 : 619,241.37 = 113,311.50 : x
  2. Step 2: Convert to fraction form
    412,831.32/619,241.37 = 113,311.50/x
  3. Step 3: Cross multiply
    412,831.32x = 619,241.37 × 113,311.50
  4. Step 4: Simplify right side
    412,831.32x = 70,167,168,496.76
  5. Step 5: Solve for x
    x = 70,167,168,496.76/412,831.32
  6. Step 6: Final answer
    x = 169,965.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.